Answer
The expression is defined for all real numbers x.
Work Step by Step
Rational expressions indicate division and division by zero is undefined.
We must exclude any value or values of the variable that make a denominator zero.
The denominator, $x^{2}+4$ never yields zero because
$x^{2}$ is a number that is nonnegative,
and it is added to 4...
The expression is defined for all real numbers x.